Search a number
-
+
4254336 = 27331231
BaseRepresentation
bin10000001110101010000000
322000010212000
4100032222000
52042114321
6231104000
751106212
oct20165200
98003760
104254336
112446389
121512000
13b5c578
147ca5b2
15590826
hex40ea80

4254336 has 64 divisors (see below), whose sum is σ = 12566400. Its totient is φ = 1416960.

The previous prime is 4254319. The next prime is 4254353. The reversal of 4254336 is 6334524.

It is an interprime number because it is at equal distance from previous prime (4254319) and next prime (4254353).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2841 + ... + 4071.

It is an arithmetic number, because the mean of its divisors is an integer number (196350).

Almost surely, 24254336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4254336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283200).

4254336 is an abundant number, since it is smaller than the sum of its proper divisors (8312064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4254336 is a wasteful number, since it uses less digits than its factorization.

4254336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1236 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 4254336 is about 2062.6041791871. The cubic root of 4254336 is about 162.0356574459.

It can be divided in two parts, 425 and 4336, that added together give a square (4761 = 692).

The spelling of 4254336 in words is "four million, two hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1231 1728 2462 3456 3693 4924 7386 9848 11079 14772 19696 22158 29544 33237 39392 44316 59088 66474 78784 88632 118176 132948 157568 177264 236352 265896 354528 472704 531792 709056 1063584 1418112 2127168 4254336